Altaf Ahmad Shah is the son-in-law of Hurriyat leader Syed Ali Shah Geelani. The other person is Kashmiri businessman Zahoor Ahmad Shah Watali.
The court will hear the plea on March 19.
In January 2018, the National Investigation Agency charge sheeted Ahmad Shah and Watali along with Pakistan-based terrorist leaders Hafiz Saeed, Syed Salahuddin, seven Kashmiri separatist leaders and others in a case of terror funding in the Kashmir Valley.
They were charge sheeted under stringent anti-terror laws alleging that they hatched a conspiracy with Saeed and Salahuddin to wage war against India for the secession of Jammu and Kashmir.
The separatists, who were arrested on July 24, 2017, are Aftab Hilali Shah alias Shahid-ul-Islam, Ayaz Akbar Khandey, Farooq Ahmad Dar alias Bitta Karate, Nayeem Khan, Altaf Ahmad Shah, Raja Mehrajuddin Kalwal and Bashir Ahmad Bhat alias Peer Saifullah.